The poset P is ranked if there exists an integer function r on the vertex set of P such that for each a and b in the poset if b covers a then r(b) - r(a) = 1.
i1 : (chain 5).GroundSet o1 = {1, 2, 3, 4, 5} o1 : List |
i2 : rankFunction chain 5 o2 = {0, 1, 2, 3, 4} o2 : List |
i3 : (booleanLattice 3).GroundSet o3 = {000, 001, 010, 011, 100, 101, 110, 111} o3 : List |
i4 : rankFunction booleanLattice 3 o4 = {0, 1, 1, 2, 1, 2, 2, 3} o4 : List |